Timing belts are inherently superior to timing chains in a number of ways.
They are more efficient, simpler, smoother, quieter, more precise, more compact, lighter, and cheaper to manufacture than timing chains. These are the reasons that manufacturers started using them in the first place.
The one drawback to having timing belts is that consumers don't like them because they require periodic replacement (increasing maintenance costs), and if they are not replaced, they can break, but then, so can a timing chain. I know that they are not supposed to break, but they definitely can and do! And, if a timing chain does break it will cause the same kind of damage to an interference engine that a broken timing belt can cause, plus a LOT more when the broken (and expensive) chain and other damaged components are factored in.